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Finding the Fourth Proportional to 168.74, 232.96 and 113.58

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Solution

The fourth proportional to 168.74, 232.96 and 113.58 is: 156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.74 : 232.96 = 113.58 : x
  2. Step 2: Convert to fraction form
    168.74/232.96 = 113.58/x
  3. Step 3: Cross multiply
    168.74x = 232.96 × 113.58
  4. Step 4: Simplify right side
    168.74x = 26,459.53
  5. Step 5: Solve for x
    x = 26,459.53/168.74
  6. Step 6: Final answer
    x = 156.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.